221434122 has 128 divisors (see below), whose sum is σ = 570576384. Its totient is φ = 55738368.

The previous prime is 221434099. The next prime is 221434193.

221434122 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×221434122³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1959538 + ... + 1959650.

It is an arithmetic number, because the mean of its divisors is an integer number (4457628).

Almost surely, 2^221434122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221434122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285288192).

221434122 is an abundant number, since it is smaller than the sum of its proper divisors (349142262).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

221434122 is a wasteful number, since it uses less digits than its factorization.

221434122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272.

The product of its digits is 768, while the sum is 21.

The square root of 221434122 is about 14880.6626868564. The cubic root of 221434122 is about 604.9899795713.

The spelling of 221434122 in words is "two hundred twenty-one million, four hundred thirty-four thousand, one hundred twenty-two".